Reed, 29, also is a consistent strike-thrower, walking only 2.25 batters per nine innings since 2013. He has been a setup man and a closer in seven seasons with the Chicago White Sox, Arizona Diamondbacks, Mets and Red Sox. He wasn’t eligible for a qualifying offer because he was traded midseason.

The Athletic first reported the Twins’ agreement with Reed, which is pending completion of a physical exam.